The number of turns in the coil of an $AC$ generator is $100$ and its cross-sectional area is $2.5 \ m^2$. The coil is revolving in a uniform magnetic field of strength $0.3 \ T$ with a uniform angular velocity of $60 \ rad \ s^{-1}$. The value of maximum induced emf is . . . . . . $kV$.

$A$ circular coil of radius $8.0 \, cm$ and $20$ turns is rotated about its vertical diameter with an angular speed of $50 \, rad \, s^{-1}$ in a uniform horizontal magnetic field of $3.0 \times 10^{-2} \, T$. The maximum $emf$ induced in the coil will be $\ldots \ldots \ldots \times 10^{-2} \, V$ (rounded off to the nearest integer).

$A$ rectangular coil of $300$ turns has an average area of $25\;cm \times 10\;cm.$ The coil rotates with a speed of $50\;cps$ in a uniform magnetic field of strength $4 \times 10^{-2}\;T$ about an axis perpendicular to the field. The peak value of the induced $e.m.f.$ is (in volt): (in $\pi$)

Discuss the principle and construction of an $A.C.$ generator (dynamo). Derive the formula for the induced $emf$ in an $A.C.$ generator.

Which statement is correct for the phenomenon of periodic electromagnetic induction?

An elliptical loop having resistance $R$,semi-major axis $a$,and semi-minor axis $b$ is placed in a magnetic field as shown in the figure. If the loop is rotated about the $x$-axis with angular frequency $\omega$,the average power loss in the loop due to Joule heating is: